Recurrence and transience of random walks in random environments on a strip

被引：42
|
作者：
Bolthausen, E
Goldsheid, I
机构：
[1] Univ Zurich, Inst Math, CH-8057 Zurich, Switzerland
[2] Univ London Queen Mary & Westfield Coll, Sch Math Sci, London E1 4NS, England
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 214卷 / 02期
关键词：
D O I：
10.1007/s002200000279
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We explain the necessary and sufficient conditions for recurrent and transient behavior of a random walk in a stationary ergodic random environment on a strip in terms of properties of a top Lyapunov exponent. This Lyapunov exponent is defined for a product of a stationary sequence of positive matrices. In the one-dimensional case this approach allows us to treat wider classes of random walks than before.
引用
收藏
页码：429 / 447
页数：19
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